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Finding the Fourth Proportional to 273,878.80, 410,933.40 and 149,309.20

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Solution

The fourth proportional to 273,878.80, 410,933.40 and 149,309.20 is: 224,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,878.80 : 410,933.40 = 149,309.20 : x
  2. Step 2: Convert to fraction form
    273,878.80/410,933.40 = 149,309.20/x
  3. Step 3: Cross multiply
    273,878.80x = 410,933.40 × 149,309.20
  4. Step 4: Simplify right side
    273,878.80x = 61,356,137,207.28
  5. Step 5: Solve for x
    x = 61,356,137,207.28/273,878.80
  6. Step 6: Final answer
    x = 224,026.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.